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001435480 001__ 1435480
001435480 003__ OCoLC
001435480 005__ 20230309003856.0
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001435480 008__ 210403s2021\\\\si\\\\\\ob\\\\001\0\eng\d
001435480 019__ $$a1244535701$$a1253404350
001435480 020__ $$a9789811604751$$q(electronic bk.)
001435480 020__ $$a9811604754$$q(electronic bk.)
001435480 020__ $$a9789811604768$$q(print)
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001435480 0247_ $$a10.1007/978-981-16-0475-1$$2doi
001435480 035__ $$aSP(OCoLC)1244622358
001435480 040__ $$aEBLCP$$beng$$erda$$epn$$cEBLCP$$dYDX$$dOCLCO$$dGW5XE$$dOCLCO$$dEBLCP$$dOCLCF$$dVT2$$dLIP$$dOCLCQ$$dCOM$$dOCLCO$$dFAU$$dOCLCQ
001435480 049__ $$aISEA
001435480 050_4 $$aQA154.3$$b.L35 2021
001435480 08204 $$a512.9$$223
001435480 1001_ $$aLal, Ramji.
001435480 24510 $$aAlgebra 4 :$$blie algebras, Chevalley groups, and their representations /$$cRamji Lal.
001435480 264_1 $$aSingapore :$$bSpringer,$$c2021.
001435480 300__ $$a1 online resource (332 pages)
001435480 336__ $$atext$$btxt$$2rdacontent
001435480 337__ $$acomputer$$bc$$2rdamedia
001435480 338__ $$aonline resource$$bcr$$2rdacarrier
001435480 347__ $$atext file
001435480 347__ $$bPDF
001435480 4901_ $$aInfosys Science Foundation series
001435480 504__ $$aIncludes bibliographical references and index.
001435480 5050_ $$aIntro -- Preface -- Contents -- About the Author -- Notations -- 1 Lie Algebras -- 1.1 Definitions and Examples -- 1.2 Universal Enveloping Algebras: PBW Theorem -- 1.3 Solvable and Nilpotent Lie Algebras -- 1.4 Semi-Simple Lie Algebras -- 1.5 Extensions of Lie Algebras and Co-homology -- 2 Semi-Simple Lie Algebras and Root Systems -- 2.1 Root Space Decomposition -- 2.2 Root Systems -- 2.3 Dynkin Diagram and the Classification of Root Systems -- 2.4 Conjugacy Theorem, Existence and Uniqueness Theorems -- 3 Representation Theory of Lie Algebras -- 3.1 Theorems of Ado and Iwasawa
001435480 5058_ $$a3.2 Cyclic Modules and Weights -- 3.3 Characters and Harish-Chandra's Theorem -- 3.4 Multiplicity Formulas of Weyl, Kostant, and Steinberg -- 4 Chevalley Groups -- 4.1 Classical Linear Groups -- 4.2 Chevalley Basis -- 4.3 Chevalley Groups -- 4.4 Twisted Groups -- 5 Representation Theory of Chevalley Groups -- 5.1 Language of Representation Theory -- 5.2 Representations of Sn, and of GL(2.q) -- 5.3 Steinberg Characters -- 5.4 Principal and Discrete Series Representations -- 5.5 Deligne-Lusztig Generalized Characters -- Appendix Bibliography -- Index
001435480 506__ $$aAccess limited to authorized users.
001435480 520__ $$aThis book, the fourth book in the four-volume series in algebra, discusses Lie algebra and representation theory in detail. It covers topics such as semisimple Lie algebras, root systems, representation theory of Lie algebra, Chevalley groups and representation theory of Chevalley groups. Numerous motivating illustrations have been presented along with exercises, enabling readers to acquire a good understanding of topics which they can then use to find the exact or most realistic solutions to their problems.
001435480 588__ $$aDescription based on print version record.
001435480 650_0 $$aAlgebra$$vTextbooks.
001435480 655_7 $$aTextbooks.$$2fast$$0(OCoLC)fst01423863
001435480 655_7 $$aTextbooks.$$2lcgft
001435480 655_0 $$aElectronic books.
001435480 77608 $$iPrint version:$$aLal, Ramji.$$tAlgebra 4.$$dSingapore : Springer Singapore Pte. Limited, ©2021$$z9789811604744
001435480 830_0 $$aInfosys Science Foundation series.
001435480 852__ $$bebk
001435480 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-0475-1$$zOnline Access$$91397441.1
001435480 909CO $$ooai:library.usi.edu:1435480$$pGLOBAL_SET
001435480 980__ $$aBIB
001435480 980__ $$aEBOOK
001435480 982__ $$aEbook
001435480 983__ $$aOnline
001435480 994__ $$a92$$bISE